In the joint work with Amandine Aftalion [3], we describe the ground states of a rotating two-component Bose–Einstein condensate in two dimensions. In the regime we consider, both a one-dimensional interface between the two components, and zero-dimensional interfaces (vortices) are present and contribute to the energy. The difficulty is that the two contributions are not of the same order, and to show that they somehow decouple requires a precise localisation of the line energy.
@article{JEDP_2018____A9_0,
author = {Sandier, Etienne},
title = {Description of the ground state for a model of two-component rotating {Bose{\textendash}Einstein} condensates.},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
note = {talk:9},
pages = {1--7},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2018},
doi = {10.5802/jedp.669},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jedp.669/}
}
TY - JOUR AU - Sandier, Etienne TI - Description of the ground state for a model of two-component rotating Bose–Einstein condensates. JO - Journées équations aux dérivées partielles N1 - talk:9 PY - 2018 SP - 1 EP - 7 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.669/ DO - 10.5802/jedp.669 LA - en ID - JEDP_2018____A9_0 ER -
%0 Journal Article %A Sandier, Etienne %T Description of the ground state for a model of two-component rotating Bose–Einstein condensates. %J Journées équations aux dérivées partielles %Z talk:9 %D 2018 %P 1-7 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.669/ %R 10.5802/jedp.669 %G en %F JEDP_2018____A9_0
Sandier, Etienne. Description of the ground state for a model of two-component rotating Bose–Einstein condensates.. Journées équations aux dérivées partielles (2018), Talk no. 9, 7 p. doi : 10.5802/jedp.669. http://www.numdam.org/articles/10.5802/jedp.669/
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